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Finding the Fourth Proportional to 25,892.47, 38,838.75 and 11,100.25

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Solution

The fourth proportional to 25,892.47, 38,838.75 and 11,100.25 is: 16,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,892.47 : 38,838.75 = 11,100.25 : x
  2. Step 2: Convert to fraction form
    25,892.47/38,838.75 = 11,100.25/x
  3. Step 3: Cross multiply
    25,892.47x = 38,838.75 × 11,100.25
  4. Step 4: Simplify right side
    25,892.47x = 431,119,834.69
  5. Step 5: Solve for x
    x = 431,119,834.69/25,892.47
  6. Step 6: Final answer
    x = 16,650.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.